is 2 2089897 - 1
has 629122 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.217968.6567%500000150000000.12305.1502%14.340970.2710%1.6142%
PrimeNet2580.018463.7931%90001600000.00162.6753%0.020064.7618%0.9687%
GPU722620.294066.1290%90001400000.00151.4003%0.295566.6033%0.4743%
Difference+5+13.9239+2.5277%+491000+14860000+0.1214+3.7499%+14.0454+3.6676%+3.6676%

Known prime factors (4 factors, 215.3 bits, 0.01030139% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20898975887448838711239.099140855
5 × 11 × 13 × 197
-131975.215e-82.195e-62.522e-6
2089897130210572807671443.5663115239
3 × 83 × 12511
2008-09-3083125117.256e-77.247e-50.0001
208989729402462052107491371961.351703442850344
23 × 13 × 193 × 35045977
2016-01-17193350459770.17890.18210.3400
208989728531790351105196293772271.273682612357238304
25 × 3 × 7110545387899
2022-01-25327110545387899417.1836,93468,982

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
208989776660808566428064568090572582.665
2089897173105491063895093574397846932731100.449
20898973828511425760696782398421194807932104.917
2089897167979455968931471084802782507836734110.372
20898973715140764845759554461205627029215935114.839
2089897838904883077057211520976547579776259764940132.624
20898972254016514758278064989201843190922153653380944144.015
20898972187270118163534828118051206859967453769686748947153.938
208989749390095796601688114134042078536988016344878026192
79
52171.723
208989710923428535661504650371814428809501059976610624711
6783
54176.190
208989764311126647012001375482803428610118983373810282220
618035910106993
65215.288
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-01-17T12:32:58alpertronManual testing50000015000000121961.3510.1230.2750.2465.150%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:36:00markrManual testing??43.566141.64932e-70.2973.56886e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:2.272 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:2.272 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110000.84642.903%
25500000.07692.689%
302500000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.106
50000500000060.510
50000625869570.656


Lucas-Lehmer results:
No L-L results for M2089897


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:33:22alpertronManual testing
588744883871
13021057280767
2940246205210749137
234413471A1150__no
2017-10-21T09:23:43Oliver KruseThreadripper
588744883871
13021057280767
2940246205210749137
234413471A1150__no
2022-01-28T14:00:01SRJ2877LTOS
588744883871
13021057280767
2940246205210749137
2853179035110519629377
17B698205E74C8F9no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
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105
106
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1010
1011
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1013
TF factor-bounds graph:
267
2
230
240
250
260
270
280
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2100
Last modified: 2022-05-15T20:18:09+00:00